CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

ABCD is a quadrilateral. AO and BO are the angle bisectors of angles A and B which meet at O. If C=70o, D=50o, find AOB.

Open in App
Solution

We have,

ABCD is a quadrilateral.

Given that,

C=70o,D=50o

So,

A+B+C+D=360o

(A+B)=360o(C+D)

(A+B)=360o(70o+50o)

(A+B)=360o120o

(A+B)=240o

According to given question,

OAB=A2

OAB=B2

Now,

OAB+OBA=A+B2=120o

AOB+120o=180o

AOB=180o120o

AOB=60o

Hence, this is the answer.


1230734_1274985_ans_ac3befda39a142258d3444b9b649254b.png

flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Quadrilaterals
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon